摘要
针对一类普遍存在的不确定时滞系统,基于线性矩阵不等式(LMI)的描述进行系统的稳定性分析,得到了用一个线性矩阵不等式系统的可行性表示的鲁棒稳定性滞后依赖型条件。介绍了如何利用MATLAB软件中的LMI工具箱进行分析与设计,据此计算出最大的允许时滞界。针对此类系统的鲁棒稳定性分析给出了数值算例。
This paper is concerned about the robust stability problem of a class of time-delay systems with norm-bounded uncertainties. A delay-dependent sufficient condition for the robust stability is derived and is expressed as the feasibility problem of a certain linear matrix inequality (LMI) system. The LMI toolbox is introduced in detail, and a maximum delay bound is obtained by solving a corresponding convex optimization problem. Furthermore, a numerical example is given to illustrate the proposed results.
出处
《机电工程》
CAS
2003年第5期106-108,共3页
Journal of Mechanical & Electrical Engineering
